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Author: Fritz Haake Publisher: Springer Science & Business Media ISBN: 3662045060 Category : Science Languages : en Pages : 491
Book Description
This classic text provides an excellent introduction to a new and rapidly developing field of research. Now well established as a textbook in this rapidly developing field of research, the new edition is much enlarged and covers a host of new results.
Author: Katsuhiro Nakamura Publisher: ISBN: 9780198525899 Category : Mesoscopic phenomena (Physics). Languages : en Pages : 228
Book Description
Dynamics of billiard balls and their role in physics have received wide attention since the monumental lecture by Lord Kelvin at the turn of the 19th century. Billiards can nowadays be created as quantum dots in the microscopic world enabling one to envisage the so-called quantum chaos, i.e.quantum manifestation of chaos of billiard balls. In fact, owing to recent progress in advanced technology, nanoscale quantum dots, such as chaotic stadium and antidot lattices analogous to the Sinai Billiard, can be fabricated at the interface of semiconductor heterojunctions. This book begins itsexploration of the effect of chaotic electron dynamics on ballistic quantum transport in quantum dots with a puzzling experiment on resistance fluctuations for stadium and circle dots. Throughout the text, major attention is paid to the semiclassical theory which makes it possible to interpretquantum phenomena in the language of the classical world. Chapters one to four are concerned with the elementary statistical methods (curvature, Lyapunov exponent, Kolmogorov-Sinai entropy and escape rate), which are needed for a semiclassical description of transport in quantum dots. Chapters fiveto ten discuss the topical subjects in the field, including the ballistic weak localization, Altshuler-Aronov-Spivak oscillation, partial time-reversal symmetry, persistent current, Arnold diffusion and Coulomb blockade.
Author: Martin C. Gutzwiller Publisher: Springer Science & Business Media ISBN: 1461209838 Category : Mathematics Languages : en Pages : 445
Book Description
Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.
Author: Geoffrey Grinstein Publisher: World Scientific ISBN: 9814513601 Category : Science Languages : en Pages : 270
Book Description
This volume collects several in-depth articles giving lucid discussions on new developments in statistical and condensed matter physics. Many, though not all, contributors had been in touch with the late S-K Ma. Written by some of the world's experts and originators of new ideas in the field, this book is a must for all researchers in theoretical physics. Most of the articles should be accessible to diligent graduate students and experienced readers will gain from the wealth of materials contained herein.
Author: Tsuneya Ando Publisher: Springer Science & Business Media ISBN: 3642719767 Category : Technology & Engineering Languages : en Pages : 293
Book Description
Semiconductor technology has developed considerably during the past several decades. The exponential growth in microelectronic processing power has been achieved by a constant scaling down of integrated cir,cuits. Smaller fea ture sizes result in increased functional density, faster speed, and lower costs. One key ingredient of the LSI technology is the development of the lithog raphy and microfabrication. The current minimum feature size is already as small as 0.2 /tm, beyond the limit imposed by the wavelength of visible light and rapidly approaching fundamental limits. The next generation of devices is highly likely to show unexpected properties due to quantum effects and fluctuations. The device which plays an important role in LSIs is MOSFETs (metal oxide-semiconductor field-effect transistors). In MOSFETs an inversion layer is formed at the interface of silicon and its insulating oxide. The inversion layer provides a unique two-dimensional (2D) system in which the electron concentration is controlled almost freely over a very wide range. Physics of such 2D systems was born in the mid-1960s together with the development of MOSFETs. The integer quantum Hall effect was first discovered in this system.
Author: Daniel Waltner Publisher: Springer Science & Business Media ISBN: 3642245277 Category : Science Languages : en Pages : 186
Book Description
This volume describes mesoscopic systems with classically chaotic dynamics using semiclassical methods which combine elements of classical dynamics and quantum interference effects. Experiments and numerical studies show that Random Matrix Theory (RMT) explains physical properties of these systems well. This was conjectured more than 25 years ago by Bohigas, Giannoni and Schmit for the spectral properties. Since then, it has been a challenge to understand this connection analytically. The author offers his readers a clearly-written and up-to-date treatment of the topics covered. He extends previous semiclassical approaches that treated spectral and conductance properties. He shows that RMT results can in general only be obtained semiclassically when taking into account classical configurations not considered previously, for example those containing multiply traversed periodic orbits. Furthermore, semiclassics is capable of describing effects beyond RMT. In this context he studies the effect of a non-zero Ehrenfest time, which is the minimal time needed for an initially spatially localized wave packet to show interference. He derives its signature on several quantities characterizing mesoscopic systems, e. g. dc and ac conductance, dc conductance variance, n-pair correlation functions of scattering matrices and the gap in the density of states of Andreev billiards.
Author: N.E. Hurt
Author: N.E. Hurt
Author: Fritz Haake
Author: Katsuhiro Nakamura
Author: Martin C. Gutzwiller
Author: N.E. Hurt
Author: Geoffrey Grinstein
Author: Tsuneya Ando
Author: Konstantin Efetov
Author: Pier A. Mello
Author: Daniel Waltner